1 . 在直角坐标系
中,直线
的参数方程为
(
为参数),在极坐标系(与直角坐标系
取相同的长度单位,且以原点
为极点,以
轴正半轴为极轴)中,圆
的方程为
.
(1)求圆
的圆心到直线
的距离;
(2)设圆
与直线
交于点
,
,若点
的坐标为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc7f4ce9f9e9632eecd7f8fd4aac5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4171a30d75286a3e4a1a91f31eba3c40.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499e596a14078ceff28f3927fb116e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
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2018-03-13更新
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2卷引用:江西省金溪一中、余江一中等五市八校2018届高三上学期第一次联考数学(文)试题
2 . 已知极坐标系的极点在平面直角坐标系的原点
处,极轴与
轴的非负半轴重合,且长度单位相同,直线
的极坐标方程为
,曲线
(
为参数).其中
.
(1)试写出直线
的直角坐标方程及曲线
的普通方程;
(2)若点
为曲线
上的动点,求点
到直线
距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2264b1ab69bece74eef77f7832b3c0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3679cad43927e1adbd8cc3c14a88be33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478d78848ca1be76aa5dfb2df2dbecd0.png)
(1)试写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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5卷引用:江西上饶市2018届高三上学期第一次模拟考试数学(理)试题
3 . 已知曲线
的参数方程为
(
为参数),以原点为极点,
轴的非负半轴为极轴建立极坐标系.
(1)求曲线
的极坐标方程;
(2)已知倾斜角为
且过点
的直线
与曲线
交于
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e82453b24101152b90fe12872656d5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/affbd6f8a68da709698f5efa6853a0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77684b3856f797403b2040c5dc73c2ce.png)
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2018-02-22更新
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6卷引用:江西省2017届高三调研考试(五)数学(文)试题
4 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点
为极点,
轴正半轴为极轴建立极坐标系,已知直线
的极坐标方程为
.
(1)求曲线
的极坐标方程;
(2)若直线
与直线
交于点
,与曲线
交于
,
两点,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5461e6bfa77dbdb8ea0add650dbeb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b12d4ac263e8e3d074ce1ed8011742.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f81ea1d176fd15307a6ba0b4d6fb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46977f32b74beaf4fc89ef7fe26eca8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2018-02-14更新
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7卷引用:【市级联考】江西省宜春市 2019 届高三4月模拟考试数学(文科)试题
名校
5 . 在平面直角坐标系中,以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系.已知直线
的参数方程为
,曲线
的极坐标方程为
;
(1)求直线
的直角坐标方程和曲线
的直角坐标方程;
(2)若直线
与曲线
交点分别为
,点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0977ff34eded757d55c49d4783efe1e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad50dd434a36f691c6f3ccaf7b394e19.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e85daaf3da68c34df2e93ac7f01381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a820d31901f37f7d8c99ae3fa819030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3b8815386efecec336475d96ed744b.png)
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2018-01-17更新
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6卷引用:江西省师范大学附属中学、九江第一中学2018届高三11月联考数学(理)试题
名校
6 . 选修4-4:坐标系与参数方程
已知曲线
的参数方程为
,在同一平面直角坐标系中,将曲线
上的点按坐标变换
得到曲线
,以原点为极点,
轴的正半轴为极轴,建立极坐标系.
(Ⅰ)求曲线
的极坐标方程;
(Ⅱ)若过点
(极坐标)且倾斜角为
的直线
与曲线
交于
两点,弦
的中点为
,求
的值.
已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a557ad562ac8d1801d94541eb6adf19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99b027aa11ee1508581e603b766b3b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅰ)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
(Ⅱ)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba5e3ab2424ff23883d70b37139574c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2009bd37ba68cfd319e340f5b08e30.png)
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8卷引用:江西省红色七校(分宜中学、会昌中学等)2021届高三第二次联考数学(文)试题
江西省红色七校(分宜中学、会昌中学等)2021届高三第二次联考数学(文)试题辽宁省沈阳市2017年高中三年级教学质量监测(三)理科数学试题辽宁省沈阳市东北育才学校2019-2020学年高三上学期10月月考数学(文)试题2020届河北省衡水中学高三下学期一调考试数学文科试题(已下线)2020届高三3月第01期(考点13-14)(文科)-《新题速递·数学》山西省大同市2019-2020学年高三下学期3月模拟数学(文)试题宁夏银川市宁大附中2020届高三第五次模拟考试数学(理)试题(已下线)文科数学-2021年高考考前20天终极冲刺攻略+(三) (6月6日)
7 .
在平面直角坐标系中,以坐标原点为极点,x轴的非负半轴为极轴建立极坐标系.已知点A的极坐标(
,
),直线l的极坐标方程为ρcos(θ-
)=a,.
(1)若点A在直线l上,求直线l的直角坐标方程;
(2)圆C的参数方程为
(
为参数),若直线
与圆C相交的弦长为
,求
的值.
在平面直角坐标系中,以坐标原点为极点,x轴的非负半轴为极轴建立极坐标系.已知点A的极坐标(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e051d14fd6a787387995331f5e6d026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b899be3c4709ec661d84392b167230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b899be3c4709ec661d84392b167230.png)
(1)若点A在直线l上,求直线l的直角坐标方程;
(2)圆C的参数方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a58abef8dd5aab787aa7883d8612ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-12-27更新
|
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|
6卷引用:江西省重点中学盟校2018届高三第一次联考数学(文)试题1
名校
8 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),直线
的方程为
,以O为极点,以x轴非负半轴为极轴建立极坐标系.
(I)求曲线
和直线
的极坐标方程;
(Ⅱ)若直线
与曲线
交于P,Q两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a082b6257fc17586b34bdbd566d9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d532ce76942846df88c6f66112e50f.png)
(I)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668b55ec6c015b1afe1aabb38392a35.png)
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2017-09-04更新
|
3181次组卷
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8卷引用:江西省南昌市2018届上学期高三摸底考试文科数学试卷
2012·吉林·模拟预测
名校
解题方法
9 . 已知圆
(
为参数),直线l:
(
为参数).
(1)求圆C的普通方程,若以原点为极点,以x轴的正半轴为极轴建立极坐标系,写出圆C的极坐标方程.
(2)判断直线l与圆C的位置关系,并说明理由;若相交,请求出弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02258e95c152ea328e716b01ecd18074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06888d0691116bcb4ff62767e4525f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)求圆C的普通方程,若以原点为极点,以x轴的正半轴为极轴建立极坐标系,写出圆C的极坐标方程.
(2)判断直线l与圆C的位置关系,并说明理由;若相交,请求出弦长.
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2017-09-03更新
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4卷引用:江西省新干县第二中学等四校2018届高三第一次联考数学(文)试题
江西省新干县第二中学等四校2018届高三第一次联考数学(文)试题(已下线)2012届吉林省实验中学高三第六次模拟考试文科数学试卷黑龙江省大庆实验中学2018届高三上学期期初考试数学(理)试题新疆乌鲁木齐市第101中学2023届高三下学期2月月考数学(理)试题
10 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以原点为极点,以
轴正半轴为极轴,建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的普通方程与曲线
的直角坐标方程;
(2)设点
,曲线
与曲线
交于
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95efe6e8b6a8eac735062f6356a32b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaecfa11fd7f4d42e2c8b76e274aff4.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e65611df39794fec95423cc1289d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9486e4e76ff07c6c47091e0e4b8bcd7d.png)
您最近一年使用:0次
2017-08-18更新
|
655次组卷
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4卷引用:2017年江西省“北阳四校”高三开学摸底考试数学(文科)